56577003064461 has 64 divisors (see below), whose sum is σ = 93094866708480. Its totient is φ = 33671458800000.

The previous prime is 56577003064441. The next prime is 56577003064469. The reversal of 56577003064461 is 16446030077565.

56577003064461 is a `hidden beast` number, since 5 + 6 + 57 + 70 + 0 + 3 + 0 + 64 + 461 = 666.

It is not a de Polignac number, because 56577003064461 - 2¹⁷ = 56577002933389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56577003064398 and 56577003064407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56577003064469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51840 + ... + 10637513.

It is an arithmetic number, because the mean of its divisors is an integer number (1454607292320).

Almost surely, 2^{56577003064461} is an apocalyptic number.

It is an amenable number.

56577003064461 is a deficient number, since it is larger than the sum of its proper divisors (36517863644019).

56577003064461 is a wasteful number, since it uses less digits than its factorization.

56577003064461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10689695 (or 10689689 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 56577003064461 in words is "fifty-six trillion, five hundred seventy-seven billion, three million, sixty-four thousand, four hundred sixty-one".